Painlevé–Kruskal theorem

E387067

The Painlevé–Kruskal theorem is a result in the theory of nonlinear differential equations that characterizes integrability through the analytic structure of their solutions, particularly via the Painlevé property.

All labels observed (3)

Label Occurrences
Painlevé property 2
Painlevé 1
Painlevé–Kruskal theorem canonical 1

How this entity was disambiguated

Statements (29)

Predicate Object
instanceOf mathematical theorem ⓘ
result in differential equations ⓘ
appliesTo nonlinear ordinary differential equations ⓘ
nonlinear partial differential equations ⓘ
associatedWith Painlevé equations ⓘ
inverse scattering transform ⓘ
mathematical analysis of singularities ⓘ
nonlinear wave equations ⓘ
characterizes integrability of nonlinear differential equations ⓘ
concerns analytic structure of solutions of differential equations ⓘ
singularity structure of solutions ⓘ
criterionFor integrability ⓘ
field differential equations ⓘ
integrable systems ⓘ
mathematical physics ⓘ
mathematics ⓘ
nonlinear differential equations ⓘ
namedAfter Martin David Kruskal ⓘ
Paul Painlevé ⓘ
relatesTo Painlevé analysis ⓘ
linked to: Painlevé test

Painlevé test ⓘ
analytic continuation of solutions ⓘ
integrable nonlinear evolution equations ⓘ
movable singularities ⓘ
singularity analysis ⓘ
usedIn classification of integrable equations ⓘ
study of completely integrable PDEs ⓘ
theory of solitons ⓘ
usesConcept Painlevé property ⓘ

How these facts were elicited

Referenced by (4)

Full triples — surface form annotated when it differs from this entity's canonical label.

Martin David Kruskal → notableWork → Painlevé–Kruskal theorem ⓘ
Paul Painlevé → familyName → Painlevé ⓘ
linked to: Painlevé–Kruskal theorem
Paul Painlevé → notableConcept → Painlevé property ⓘ
linked to: Painlevé–Kruskal theorem
Painlevé–Kruskal theorem → usesConcept → Painlevé property ⓘ
linked to: Painlevé–Kruskal theorem